The receiver in a parabolic satellite dish is d = 9.5 feet from the vertex and is located at the focus (see figure). Write an equation for a cross section of the reflector. (Assume that the dish is directed upward and the vertex is at the origin.) Note that the focus lies on the y-axis, p units (directed distance) from the vertex. If the vertex is at the origin, the standard equation of the parabola takes the following form. x2 = ____ py   The vertex is at  (0, 0).  Therefore, h = 0 and k = 0, and focus is at a distance of 9.5 feet from the vertex. ⇒ p = _______

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

The receiver in a parabolic satellite dish is d = 9.5 feet from the vertex and is located at the focus (see figure). Write an equation for a cross section of the reflector. (Assume that the dish is directed upward and the vertex is at the origin.)

Note that the focus lies on the y-axis, p units (directed distance) from the vertex. If the vertex is at the origin, the standard equation of the parabola takes the following form.

x2 = ____ py

 

The vertex is at 

(0, 0).

 Therefore, h = 0 and k = 0, and focus is at a distance of 9.5 feet from the vertex.

⇒ p = _______
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